On the global attractivity of non-autonomous neural networks with a distributed delay

Abstract

We consider a system of several nonlinear equations with a distributed delay and obtain absolute asymptotic stability conditions, independent of the delay. The ideas of the proofs are based on the notion of a strong attractor. The results are applied to Hopfield neural networks, Nicholson's blowflies type system, and compartment models of population dynamics.

21 pages; submitted

References in corpus (3)

• Periodic solutions for a non-monotone family of delayed differential equations with applications to Nicholson systems
• Stability in a scalar differential equation with multiple, distributed time delays
• Optimal linear stability condition for scalar differential equations with distributed delay